RI 2024 Y5 H2 Physics Timed Practice QP

Name: ( ) CT Group: 25S0 RAFFLES INSTITUTION 2024 YEAR 5 Timed Practice H2 PHYSICS 9749 2 hours RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFL ES INSTITUTION Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your Name, Index Number and CT Group in the spaces at the top of this page. Write in dark blue or black pen on both sides of the paper. You may use a 2B pencil for any diagrams or graphs. The use of an approved scientific calculator is expected, where appropriate. Answer all questions. The number of marks is given in brackets [ ] at the end of each question or part question. For Examiner’s Use 1 / 10 2 / 10 3 / 9 4 / 9 5 / 7 6 / 9 7 / 8 8 / 10 9 / 8 Deductions Total / 80 There are 20 printed pages, inclusive of the cover page, in this booklet.

2 © Raffles Institution Data speed of light in free space c = 3.00 × 108 m s−1 permeability of free space 0µ = 4π × 10−7 H m−1 permittivity of free space 0ε = 8.85 × 10−12 F m−1 = (1/(36π)) × 10−9 F m−1 elementary charge e = 1.60 × 10−19 C the Planck constant h = 6.63 × 10−34 J s unified atomic mass constant u = 1.66 × 10−27 kg rest mass of electron me = 9.11 × 10−31 kg rest mass of proton mp = 1.67 × 10−27 kg molar gas constant R = 8.31 J K−1 mol−1 the Avogadro constant NA = 6.02 × 1023 mol−1 the Boltzmann constant k = 1.38 × 10−23 J K−1 gravitational constant G = 6.67 × 10−11 N m2 kg−2 acceleration of free fall g = 9.81 m s−2 Formulae uniformly accelerated motion s = 21 2ut at+ 2v = 2 2u as+ work done on/by a gas W = pV∆ hydrostatic pressure p = ρgh gravitational potential φ = Gm r− temperature T / K = / C 273.15T °+ pressure of an ideal gas p = 21 3 Nm cV mean translational kinetic energy of an ideal gas molecule E = 3 2 kT displacement of particle in s.h.m. x = 0 sinxt ω velocity of particle in s.h.m. v = 0 cosvt ω 22 0xxω= ±− electric current I = Anvq resistors in series R = 12 RR++  resistors in parallel 1/R = 1211 RR++  electric potential V = 4 Q rε0π alternating current/voltage x = 0 sinxt ω magnetic flux density due to a long straight wire B = 0 2 d µ π I magnetic flux density due to a flat circular coil B = 0 2 N r µ I magnetic flux density due to a long solenoid B = 0nµ I radioactive decay x = ( )0 expxt λ− decay constant λ = 12ln2 t

3 © Raffles Institution [Turn over 1 (a) Fig. 1.1 shows the apparatus used in an experiment to determine the specific heat capacity c of a metal block of mass m. Fig. 1.1 The current I in the heater and the voltage V across it are measured. The initial temperature T1 of the block and its temperature T2 after the heater has been switched on for a period of time t are noted. The measurements, with their actual uncertainties, are shown in Fig. 1.2. m / kg I / A V / V T1 / °C T2 / °C t / s 0.764 ± 0.001 3.80 ± 0.06 12.00 ± 0.08 25.4 ± 0.1 35.7 ± 0.1 60.0 ± 0.1 Fig. 1.2 The specific heat capacity c may be determined using the equation: 21()Vt mc T T= −I . (i) Determine the percentage uncertainty, to two significant figures, of the rise in temperature (T2 − T1). percentage uncertainty = % [2] thermometer insulation heater metal block

4 © Raffles Institution (ii) Calculate the actual uncertainty in c. actual uncertainty = J kg−1 K−1 [4] (iii) State the value of c and its actual uncertainty to an appropriate number of significant figures. c = ± J kg−1 K−1 [1] (iv) Suggest one way , apart from changing the measuring instruments, in which the uncertainty of the specific heat capacity can be reduced. [1] (b) The drag coefficient CD of a car moving with speed v through air of density ρ is given by: 2 2 D FC Avρ= where F is the drag force exerted on the car and A is the maximum cross-sectional area of the car perpendicular to the direction of travel. Show that CD is a dimensionless constant. [2] [Total: 10]

5 © Raffles Institution [Turn over 2 During a football match, a goalkeeper released a ball from rest from a height of 1.10 m above ground. (a) Show that the velocity v1 of the ball just before it hits the ground is 4.65 m s –1. Air resistance is negligible. [1] (b) Just before the ball hits the ground, the goalkeeper kicks the ball such that it moves off with a velocity vR of 25.0 m s–1 at an angle of 40 ° above the horizontal. Air resistance is negligible. (i) Sketch a labelled vector diagram to show the velocity v1, the change in velocity ∆v of the ball and the velocity vR. [1] (ii) Determine the magnitude and direction of ∆v. magnitude of ∆v = m s–1 direction of ∆v = [3]

6 © Raffles Institution (iii) Calculate the horizontal range of the ball. horizontal range = m [3] (c) State and explain how, in practice, the actual horizontal range of the ball might differ from your answer in (b)(iii). [2] [Total: 10]

7 © Raffles Institution [Turn over 3 (a) State Newton’s second law of motion. [2] (b) A helicopter with two rotors carries a load of mass 3.7 × 103 kg and is accelerating vertically upwards at 0.39 m s−2 as shown in Fig. 3.1. (i) Calculate the tension in the cable. tension = N [2] two rotors load cable Fig. 3.1

8 © Raffles Institution (ii) The length of each rotor blade is 9.0 m. When the rotors are turning, each of them pushes a cylindrical column of air downwards at a velocity v. The two rotors generate a combined total upward force of 1.5 × 105 N. The density of air is 1.3 kg m−3. Determine the value of v. Explain your working. Ignore the effects of the rotor blades overlapping. v = m s−1 [4] (iii) Suggest why the ability of a helicopter to fly decreases with increasing altitude. [1] [Total: 9]

9 © Raffles Institution [Turn over 4 A sphere A of mass 0.250 kg travels at a speed of 30.0 m s−1 along the x-axis and collides with a sphere B of mass 0.600 kg which is initially at rest. After collision, sphere A moves off with a speed of 15.0 m s −1 at an angle of 30.0° to the x-axis, while sphere B moves off with a speed vB at an angle of θ to the x-axis as shown in Fig. 4.1. Fig. 4.1 (a) By considering the conservation of linear momentum along the y-axis, show that 1 Bsin 3 13 m sv. −=θ .